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Finding the Third Proportional to 202,755 and 296,428

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Solution

The third proportional to 202,755 and 296,428 is: 433,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,755 : 296,428 = 296,428 : x
  2. Step 2: Convert to fraction form
    202,755/296,428 = 296,428/x
  3. Step 3: Cross multiply
    202,755x = 296,428 × 296,428
  4. Step 4: Simplify right side
    202,755x = 87,869,559,184
  5. Step 5: Solve for x
    x = 87,869,559,184/202,755
  6. Step 6: Final answer
    x = 433,378.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.